Search a number
-
+
252440305000000 = 26571311334369
BaseRepresentation
bin111001011001011111010110…
…101101001101111001000000
31020002211001112220011200111221
4321121133112231031321000
5231041440221040000000
62252521250344044424
7104113132042221445
oct7131372655157100
91202731486150457
10252440305000000
1173487372081677
1224390757463714
13aab2031b95680
14464a266b639cc
151e2b841c5761a
hexe597d6b4de40

252440305000000 has 448 divisors, whose sum is σ = 680322871650240. Its totient is φ = 92381184000000.

The previous prime is 252440304999989. The next prime is 252440305000001. The reversal of 252440305000000 is 503044252.

It can be written as a sum of positive squares in 32 ways, for example, as 2283314412096 + 250156990587904 = 1511064^2 + 15816352^2 .

It is a super-2 number, since 2×2524403050000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (252440305000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7344982816 + ... + 7345017184.

It is an arithmetic number, because the mean of its divisors is an integer number (1518577838505).

Almost surely, 2252440305000000 is an apocalyptic number.

252440305000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252440305000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340161435825120).

252440305000000 is an abundant number, since it is smaller than the sum of its proper divisors (427882566650240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252440305000000 is an frugal number, since it uses more digits than its factorization.

252440305000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34542 (or 34502 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 252440305000000 its reverse (503044252), we get a palindrome (252440808044252).

The spelling of 252440305000000 in words is "two hundred fifty-two trillion, four hundred forty billion, three hundred five million", and thus it is an aban number.